We're dividing 801408 by 13 
Let's see how many times 13 fits into 801408.

Step 1:
8 divided by 13 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 13

On to step 2:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 2 after subtracting 78 from 80.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 13

On to step 3:
When dividing 21 by 13, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 61.0
If we take 13 away from 21, we end up with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 13

Step 4:
When dividing 84 by 13, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 616.0
The remainder is 6 after subtracting 78 from 84.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 13

On to step 5:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6164.0
Deduct 52 from 60 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 13

Step 6:
If we divide 88 by 13, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 61646.0
The remainder is 10 after subtracting 78 from 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 61646.7
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 61646.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 61646.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 61646.7692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 61646.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 61646.76923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 61646.7692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 61646.76923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 61646.76923076 with a balance of 1.2e-08.